Finding the Third Proportional to 102,870 and 155,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,870 : 155,398.50 = 155,398.50 : x
2. Step 2: Convert to fraction form
   102,870/155,398.50 = 155,398.50/x
3. Step 3: Cross multiply
   102,870x = 155,398.50 × 155,398.50
4. Step 4: Simplify right side
   102,870x = 24,148,693,802.25
5. Step 5: Solve for x
   x = 24,148,693,802.25/102,870
6. Step 6: Final answer
   x = 234,749.62